A football of mass 2.5kg is lifted up to the top of a cliff that is 180m high. How much
potential energy does the football gain?

a. The image distance is -212.275 cm

b.  the lateral magnification is equal to 26.534375

The image distance can be found using the lens equation for a spherical lens:

1/f = 1/d_o + 1/d_i

we have that  focal length of a spherical lens is:

f = R / (n - 1)

f = R / (n - 1) = 200 cm / (1.52 - 1) = 200 cm / 0.52 = 385.385 cm

The object distance, d_o, is 8.00 cm,

calculating  the image distance, we have :

1/f = 1/d_o + 1/d_i

1/385.385 cm = 1/8.00 cm + 1/d_i

d_i = -8.00 cm * 385.385 cm / (385.385 cm - 8.00 cm) = -212.275 cm

b. The lateral magnification can be described as the ratio of the height of the image to the height of the object:

m = h_i / h_o

m = h_i / h_o = d_i / d_o = -212.275 cm / 8.00 cm = -26.534375

In conclusion, the negative sign indicates that the image is inverted with respect to the object.

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During the earliest stages of the universe, the only things that existed were subatomic particles such as protons, neutrons, and electrons. These particles came together to form the first atoms, which were primarily hydrogen and helium.

The universe was also filled with a hot, dense plasma of particles and radiation, known as the cosmic microwave background radiation.

Hence, as the universe expanded and cooled, these atoms and radiation would play a key role in the formation of galaxies, stars, and the larger structures we see today.

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Answer: work

Explanation:

Often in physics, work is defined as the use of force to move an object. Technically, work is actually a change in energy caused by a force external to the system. The formula for work is W = F⊥d or W = FdcosΘ. Using this formula, we can see that work is just when a force is applied for a certain displacement. In simpler terms, that's just a force used to move an object a certain distance.

Here are two examples of work done to store potential energy i.e. Lifting a weight, and stretching a spring.

1. Lifting a weight: When you lift a weight against the force of gravity, you are doing work to store potential energy in the weight. As you lift the weight, you are increasing its height above the ground, which increases its potential energy. The work you do to lift the weight is equal to the increase in potential energy of the weight.

2. Stretching a spring: When you stretch a spring, you are doing work to store potential energy in the spring. As you stretch the spring, you are increasing its length, which causes the spring to store potential energy. The work done you do to stretch the spring is equal to the potential energy stored in the spring.

In both of these examples, work is done to store potential energy in an object by changing its position or shape. This stored potential energy can be released later to do work on other objects, such as when a weight is dropped or a spring is released.

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A car of mass 1364 kg which is moving at a constant velocity of 23 m/s then the net force acting on the car is 31,372 N.

In physics, a strain is an effect with the ability to alter the velocity of an object. A force can influence a surplus object's velocity to alter or rise. To describe force, a pushing or a pulling makes intuitive sense. Forces have both size and direction, since they are vector quantities. It is measured in newtons using the SI system (N). F is the symbol that denotes force.

Given data provided by the question,

Mass, m = 1364 kg and,

Velocity, v = 23 m/s

Force, F = 1364 × 23

F = 31,372 N.

Therefore, the force is 31,372 N.

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Answer:

The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58

Explanation:

Given that,

Length of plates = 8 cm

Width = 5.52 cm

Distance = 1.99 cm

Dielectric constant = 2.6

Length = 4.4 cm

Potential = 0.8 V

We need to calculate the initial capacitance

Using formula of capacitance

\(C=\dfrac{\epsilon_{0}A}{d}\)

Put the value into the formula

\(C=\dfrac{8.85\times10^{-12}\times8\times5.52\times10^{-4}}{1.99\times10^{-2}}\)

\(C=1.96\times10^{-12}\)

We need to calculate the final capacitance

Using formula of capacitance

\(C'=\dfrac{\epsilon_{0}A_{1}}{d}+\dfrac{k\epsilon_{0}A_{2}}{d}\)

Put the value into the formula

\(C'=(\dfrac{8.85\times10^{-12}}{1.99\times10^{-2}})((4.4\times5.52)+(3.6\times5.52)2.6)\times10^{-4}\)

\(C'=3.37\times10^{-12}\)

We need to calculate the  ratio of the new potential energy to the potential energy before the insertion of the dielectric

Using formula of energy

\(\dfrac{E}{E'}=\dfrac{\dfrac{1}{2}CV^2}{\dfrac{1}{2}C'V^2}\)

Put the value into the formula

\(\dfrac{E}{E'}=\dfrac{1.96\times10^{-12}}{3.37\times10^{-12}}\)

\(\dfrac{E}{E'}=0.58\)

Hence, The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58

Answer:

(1.8 × 10^9) meters in one minute

Explanation:

To determine how far light can travel in one minute, we need to multiply its speed by the number of seconds in a minute.

The speed of light is 3 × 10^8 meters per second.

There are 60 seconds in a minute.

Therefore, the distance light can travel in one minute is:

Distance = Speed × Time

Distance = (3 × 10^8 meters per second) × (60 seconds)

Calculating this, we get:

Distance = 3 × 10^8 meters/second × 60 seconds

Distance = 18 × 10^8 meters

Distance = 1.8 × 10^9 meters

So, light can travel approximately 1.8 billion (1.8 × 10^9) meters in one minute.

Answer:

A sound mind in a sound body implies that you're capable of positive thinking for a better quality of life and physical functioning. When you exercise, your body releases endorphins, a chemical that triggers a positive response in the body. This shows that the more you sweat, the better you feel about yourself.

Explanation:

(A)The water will shoot out of the hole at a speed of 4.77 m/s, and the pressure of the water at the hole will be 9.91 × 10^4 Pa, and (B) The water will shoot out of the larger hole at a speed of 0.529 m/s, and the pressure of the water at the hole will be 1.012 × 10^5 Pa.

We can use Bernoulli's equation to solve this problem, which relates the pressure, velocity, and height of a fluid. The equation states that:

P + (1/2)ρv^2 + ρgh = constant

where P is the pressure, ρ is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height of the fluid.

(A) The diameter of the hole is 4.51 cm, which corresponds to a radius of 2.255 cm = 0.02255 m. The area of the hole is A = πr^2 = 1.587 × 10^-4 m^2. The volume flow rate of water is Q = 0.757 m^3/s.

We can calculate the velocity of the water as it exits the hole using the equation:

Q = Av

where A is the area of the hole and v is the velocity of the water. Solving for v, we get:

v = Q/A = 4.77 m/s

Now, we can use Bernoulli's equation to find the pressure of the water at the hole. Assuming that the height of the fountain is negligible compared to the height of the atmosphere, we can set the height term to zero. Also, we can assume that the pressure at the surface of the fountain is atmospheric pressure, which we can take as P = 1.013 × 10^5 Pa. Then, the equation becomes:

P + (1/2)ρv^2 = constant

Solving for P, we get:

P = constant - (1/2)ρv^2

At the hole, the velocity of the water is v = 4.77 m/s, and the density of water is ρ = 1000 kg/m^3. Substituting these values, we get:

P = 1.013 × 10^5 Pa - (1/2) × 1000 kg/m^3 × (4.77 m/s)^2 = 9.91 × 10^4 Pa

So, the water will shoot out of the hole at a speed of 4.77 m/s, and the pressure of the water at the hole will be 9.91 × 10^4 Pa.

(B) If the diameter of the hole is three times as large, then the area of the hole will be nine times as large. Therefore, the volume flow rate of water will be distributed over a larger area, resulting in a lower velocity. The new area of the hole is A = 9 × 1.587 × 10^-4 m^2 = 1.43 × 10^-3 m^2. The volume flow rate of water is still Q = 0.757 m^3/s.

Using the equation Q = Av, we can find the new velocity of the water:

v = Q/A = 0.529 m/s

Using Bernoulli's equation, we can find the pressure of the water at the larger hole:

P = 1.013 × 10^5 Pa - (1/2) × 1000 kg/m^3 × (0.529 m/s)^2 = 1.012 × 10^5 Pa

So, the water will shoot out of the larger hole at a speed of 0.529 m/s, and the pressure of the water at the hole will be 1.012 × 10^5 Pa.

Hence, Water will flow out of the smaller hole at a speed of 0.529 m/s and a pressure of 1.012 × 10^5 Pa, and the water will shoot out of the hole at a speed of 4.77 m/s and a pressure of 9.91 × 10^4 Pa.

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Answer:

Incomplete question but the closest ans is

A) The displacement is not zero

Explanation:

For work to be done, the direction of force has to be parallel to or in the same direction as the displacement, this can then be calculated by

\(W=Fs \ cos\)θ

Where θ is the angle between direction of force and direction of displacement

By this equation,

if Force is zero, W is zero

if displacement is zero, W is zero

if force and displacement are perpendicular θ=90, cosθ = 0

So A is the cloest choices

Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

As mass increases, the following which is found to be always true is a corresponding increase in the inertia and is therefore denoted as option C.

This is defined as the property of a body to resist changes in velocity or motion. Such feature is characterized by the body having the tendency to remain at rest or in uniform motion unless an external force acts on it.

When mass increase, inertia also increases due to the large amount of force which is needed to change the direction or motion of a body in this scenario. On the other hand, when mass decreases, there is a corresponding decrease in the inertia which is present in a given body over a period of time.

This is therefore the reason why mass of a body is directly proportional to its inertia and makes it the most appropriate choice.

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The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

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What is Alpha decay?

Alpha decay is that the nuclear decay method whereby the parent nucleus emits an particle. The alpha particle, structurally such as the nucleus of a element atom and denoted by the Greek letter α, consists of 2 protons and two neutrons.

This ejected particle is understood as an alpha particle and is solely a helium nucleus. Alpha particles have a comparatively giant mass and a positive charge.

In α-decay, the nucleon number of the merchandise nucleus (daughter nucleus) is four not up to that of the decaying nucleus (parent nucleus), whereas the number decreases by two. In general, the radioactive decay equation is painted as follows: Z A X → Z − two A − four Y + 2 4 He.

Hence final answer is

1. - a

2. - b

3. - c

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Newton second law of motion,

F = m x a

F = force

m= mass

a = acceleration

There is a direct relationship between force, mass, and acceleration.

more mass needs more force to move.

Answer:

Explanation:

\(y(t) = 5t-5t^2\)

When y(t) = 0, the ball is on the hand.

\(0=5t-5t^2\\0=5t(1-t)\\t=0,1\)

It takes 1 second.

There are several different possibilities.

==>  If the 5.0 means 5 miles per hour, that's 2.24 meters per second, up.

The acceleration of gravity is 9.8 m/s down, so the ball stops, turns around, and starts falling in (2.24/9.8) = 0.229 second.  Then, after is starts to fall, it takes the same amount of time to the person's hand.

Total time = 0.457 second.

==>  If the 5.0 means 5 meters per second, up . . .

The acceleration of gravity is 9.8 m/s down, so the ball stops, turns around, and starts falling in (5.0/9.8) = 0.51 second.  Then, after is starts to fall, it takes the same amount of time to the person's hand.

Total time = 1.02 second.

==>  If the 5.0 means 5 km/minute, that's about 83.33 meters per second, up.

The acceleration of gravity is 9.8 m/s down, so the ball stops, turns around, and starts falling in (83.33/9.8) = 8.503 seconds.  Then, after is starts to fall, it takes the same amount of time to the person's hand.

Total time = 17.01 seconds.

==>  If the 5.0 means 5 furlongs per fortnight, that's about 0.00083 meters per second, up.

The acceleration of gravity is 9.8 m/s down, so the ball stops, turns around, and starts falling in (0.00083/9.8) = 0.000085 second.  Then, after is starts to fall, it takes the same amount of time to the person's hand.

Total time = 0.00017 second.

This is why all of your numbers always need their units.

the frictional force on the broom has magnitude μ * m * g * cos(theta)

The frictional force on the broom can be determined using the equation:

F_friction = μ * F_norm

Where F_friction is the frictional force, μ is the coefficient of friction, and F_norm is the normal force. The normal force is equal to the force exerted on the broom perpendicular to the surface of the floor. Since the broom is being pushed across a horizontal surface, the normal force is equal to the force of gravity, which is equal to the mass of the broom (m) multiplied by the acceleration due to gravity (g).

F_norm = m * g

The force being applied to the broom is 7N and it is at angle theta with the horizontal. The component of this force perpendicular to the surface of the floor is the force that acts on the normal force.

F_norm = 7 * cos(theta)

Therefore,

F_friction = μ * m * g * cos(theta)

So, the frictional force on the broom has magnitude μ * m * g * cos(theta)

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Answer:

See explanations below

Explanation:

Power = Workdone/Time

Power of washer = 450watts

Time used to clean the clothes = 1hour = 3600secs

Energy used to clean a load of clothes in 1 hour of

washing = 450/3600

Energy used to clean a load of clothes in 1 hour of

washing = 0.125Joules

For drying;

Energy = 3000/1.5*3600

Energy = 3000/5400

Energy = 0.556Joules

Hence the energy in washing id 0.556Joules

The boy weighs at about 80 kg. When, as illustrated, a N 784 guy balances the youngster on a teeter-totter.

A way to determine how much material, in mass, makes up a physical body.

In classical mechanics, an object's mass is essential to Newton's equations of motion because it affects the force required to accelerate it and, subsequently, how much inertia it has.

Language expert Peter Trudgill claims that the name "Tittermatorter" from the Norfolk language is its origin. Trudgill can trace all of his great-great-grandparents to a tiny region of eastern Norfolk.

As per the question:

Weight is come under gravity and become force

80g = mg

m = 80

Force = 80(9.8) = 784N

Thus, the answer is 784N.

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Explanation:

the speed of the light is

the time in a year is

the distance traveled by the light is

Plugging all the values in the above relation, we get

now convert this into miles.

now the distance is,

Thus, the distance traveled by the light in a year is 6 billion.

The average speed is 1/2 m/s.

To determine the answer, we need to know about average speed.

Distance covered by an object per unit time is known as average speed.

Mathematically, average speed= Total distance travelled/ total time taken

Here, total distance travelled = 10m,

         total time taken = 20s

 Average speed = 10/20 = 1/2 m/s

Thus, we can conclude that the average speed is 1/2 m/s.

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Answer:

Tell me why you cried, and why you lied to me

Tell me why you cried, and why you lied to me

Well I gave you everything I had

But you left me sitting on my own

Did you have to treat me, oh, so bad

All I do is hang my head and moan

Tell me why you cried, and why

Explanation:

Answer:

Those substances which can conduct electricity are called conductors, while those substances which don't conduct electricity are called insulators.

Resistance is the obstruction provided by the material through which the current passes,so since conductors conduct electricity and insulators don't,so the obstruction i.e resistance provided by the conductor must be less,while insulators being unable to conduct electricity,has very high resistance.

Example of conductor is copper

Example of insulator is plastic

Answer:

Zeus, Poseidon, Hera, Aphrodite, Ares, Hades

Explanation:

Zeus is the king of gods. Poseidon is god of the sea. Hera is goddess of Marriage, Ares is god of war. Hades god/lord or the underworld.

Answer:

(A)   She needs to move the decimal point by 3 places

Answer:

3^-2 is 1/9

3^0 is 1

3^1 is 3

3^3 is 27

Answer:

1/9

1

3

27

Explanation:

The speed of the wave would be0.48 m/s.

The speed of a wave is given by the formula:

v = λ/T

where v is the wave speed, λ (lambda) is the wavelength, and T is the period.

To solve this problem, we need to know the wavelength of the wave. We can find the wavelength using the formula:

λ = 2L

where L is the length of the rope. Substituting L = 6 m, we get:

λ = 2 × 6 m = 12 m

Now we can use the formula for wave speed:

v = λ/T

Substituting λ = 12 m and T = 25 s, we get:

v = 12 m/25 s = 0.48 m/s

Therefore, the speed of the wave is 0.48 m/s.

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